On a subclass of -uniform convex functions
In this paper we define a subclass of -uniform convex functions by using the S’al’agean differential operator and we obtain some properties of this class.
On a Subfamily of P-valent Functions With Negative Coefficients
On a subordination result for analytic functions defined by convolution
In this paper we discuss some subordination results for a subclass of functions analytic in the unit disk U
On a subordination theorem for a class of meromorphic functions.
On a system of functional equations.
On a theorem of Beardon and Maskit.
On a Theorem of Gross-Iversen Type on Riemann Surfaces.
On a Theorem of Gundersen and Laine.
On a theorem of Haimo regarding concave mappings
A relatively simple proof is given for Haimo's theorem that a meromorphic function with suitably controlled Schwarzian derivative is a concave mapping. More easily verified conditions are found to imply Haimo's criterion, which is now shown to be sharp. It is proved that Haimo's functions map the unit disk onto the outside of an asymptotically conformal Jordan curve, thus ruling out the presence of corners.
On a theorem of inversive geometry
On a theorem of Lindelöf
We give a quasiconformal version of the proof for the classical Lindelöf theorem: Let f map the unit disk D conformally onto the inner domain of a Jordan curve C. Then C is smooth if and only if arh f'(z) has a continuous extension to D. Our proof does not use the Poisson integral representation of harmonic functions in the unit disk.
On a theorem of Nehari and quasidiscs.
On a Theorem of Study Concerning Conformal Maps with Convex Images II.
On a variational approach to truncated problems of moments
We characterize the existence of the solutions of the truncated moments problem in several real variables on unbounded supports by the existence of the maximum of certain concave Lagrangian functions. A natural regularity assumption on the support is required.
On algebraic curves (of low genus) defined by Kleinian groups
On algebraic functions satisfying a class of functional equations.
On algebraic functions satisfying a class of functional equations. (Short Communication).
On alpha-close-to-convex functions of order beta.
On an analytic approach to the Fatou conjecture
Let f be a quadratic map (more generally, , d > 1) of the complex plane. We give sufficient conditions for f to have no measurable invariant linefields on its Julia set. We also prove that if the series converges absolutely, then its sum is non-zero. In the proof we use analytic tools, such as integral and transfer (Ruelle-type) operators and approximation theorems.
On an application of the theorem of Apollonius